In this paper, the general behaviour of the Auger rates of hollow atoms for
different types of configurations involving identical or non-identical ele
ctrons is studied in order to reveal trends in the decay properties of thes
e complex systems. For highly charged ions neutralized with electrons in ex
cited configurations, conventional calculations such as those using availab
le atomic structure codes are generally out of reach. Therefore, we have de
veloped a global approach which allows one to estimate the Auger rates for
these 'exotic' systems. When using this method in several simple cases (nit
rogen, neon), it has been possible to reproduce level-by-level calculations
with good accuracy. Our new approach has allowed us to calculate lifetimes
for hollow xenon, lead and thorium ions and the results are discussed in c
onnection with recent experimental data on ion-fullerene collisions.